On the general and measurable solutions of some functional equations
Journal Title: Annales Mathematicae Silesianae - Year 2018, Vol 32, Issue
Abstract
The general solutions of two functional equations, without imposing any regularity condition on any of the functions appearing, have been obtained. From these general solutions, the Lebesgue measurable solutions have been deduced by assuming the function(s) to be measurable in the Lebesgue sense.
Authors and Affiliations
Prem Nath, Dhiraj Kumar Singh
Multi ping-pong and an entropy estimate in groups
We provide an entropy estimate from below for a finitely generated group of transformation of a compact metric space which contains a ping-pong game with several players located anywhere in the group.
Exponential convergence for Markov systems
Markov operators arising from graph directed constructions of iterated function systems are considered. Exponential convergence to an invariant measure is proved.
Stability of functional equations in dislocated quasi-metric spaces
We present a result on the generalized Hyers–Ulam stability of a functional equation in a single variable for functions that have values in a complete dislocated quasi-metric space. Next, we show how to apply it to prove...
Mathematical models for dynamics of molecular processes in living biological cells. A single particle tracking approach
In this survey paper we present a systematic methodology of how to identify origins of fractional dynamics. We consider three models leading to it, namely fractional Brownian motion (FBM), fractional Lévy stable motion (...
Report of Meeting. The Sixteenth Debrecen-Katowice Winter Seminar Hernádvécse (Hungary), January 27–30, 2016
Report of Meeting. The Sixteenth Debrecen-Katowice Winter Seminar Hernádvécse (Hungary), January 27–30, 2016